## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson

# Chapter 3 - Polynomial and Rational Functions - Section 3.1 Polynomial Functions and Models - 3.1 Assess Your Understanding - Page 208: 20

#### Answer

It is a polynomial $f(x) =x^2-x$ of degree: $2$ Leading term: $x^2$ Constant: $0$

#### Work Step by Step

We re-arrange the given function as follows: $f(x)=x^2+x$ A polynomial can be defined as a function containing only terms where $x$ is raised to a positive, integer power or constant. We can see from the given function that it is a polynomial. The degree is equal to the power of the term with the highest power, so the degree is $2$. Also, the constant value is $0$. The term with the highest degree is always known as the leading term; that is, $x^2$. So, it is a polynomial $f(x) =x^2-x$ of degree: $2$ Leading term: $x^2$ Constant: $0$

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